Constrained Kaczmarz extended algorithm for image reconstruction (Q947690)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Constrained Kaczmarz extended algorithm for image reconstruction |
scientific article; zbMATH DE number 5349187
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constrained Kaczmarz extended algorithm for image reconstruction |
scientific article; zbMATH DE number 5349187 |
Statements
Constrained Kaczmarz extended algorithm for image reconstruction (English)
0 references
6 October 2008
0 references
The author is concerned with the numerical solution of general usually inconsistent least squares problems relating to big, sparse and rank-deficient linear systems. To this aim, new constraining procedures in the Kaczmarz extended algorithm are introduced. It is shown that the sequence generated by this new constrained method always converges to a constrained least squares solution of the original problem, under weaker hypotheses that those already presented in literature. Some excellent numerical examples and comparisons enlighten the effectiveness of the presented method.
0 references
algebraic reconstruction techniques
0 references
Kaczmarz extended method
0 references
constraining stategies
0 references
image reconstruction
0 references
inconsistent least squares problems
0 references
rank-deficient linear systems
0 references
numerical examples
0 references
0 references
0 references
